What is the work done to increase the velocity of car from 36 km per hour to 72 km per hour if the mass is 1500 kg?

What is the work done to increase the velocity of car from 36 km per hour to 72 km per hour if the mass is 1500 kg?

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Concept:

  • Work-energy theorem: It states that work done by a force acting on a body is equal to the change in the kinetic energy of the body i.e.,

W = Kf - Ki

\(W = \frac{1}{2}m{v^2} - \frac{1}{2}m{u^2} = {\bf{\Delta }}K\,\)

Where v = final velocity, u = initial velocity and m = mass of the body

Calculation:

Given - mass (m) = 1500 kg, initial velocity (u) = 36 km/h = 10 m/s and final velocity (v) = 72 km/h = 20 m/s

  • The work done to increase the velocity of a 1500 kg car from 36 km/h to 72 km/h is

\(\Rightarrow W = \frac{1}{2}m({v^2} - {u^2} )\,\)

\(\Rightarrow W = \frac{1}{2}\times 1500\times ({400} - {100} )=2.25\times10^5\, J\,\)

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What is the work done to increase the velocity of car from 36 km per hour to 72 km per hour if the mass is 1500 kg?

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